The equation for the cartesian form of representation of a plane is given by ax + by + cz = d.
<h3>What is the cartesian form?</h3>
The cartesian form is a mathematical model which is used for the graphical representation of either a point, line, or plane in a two-dimensional (2D) or three-dimensional (3D) plane.
Mathematically, the cartesian form of representation of a plane is given by this equation:
ax + by + cz = d.
<u>Where:</u>
- a, b, c are the direction on each axis.
- d is the distance from the origin.
Read more on cartesian form here: brainly.com/question/13147873
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0.875 US gallons i think this is the aswer
This is just one of many ways for this to be done
36.78 can also be written as 36 and 78/100 or 3678/100
2.4 can be written as 2 and 4/100 or 204/100
so we have 3678/100 ÷ 204/100
to divide fractions, you just have to flip the second fraction and multiply across
3678/100 * 204/100
750312/10000
Simplified that would be 75 and 312/10000
hope this helped
Answer:
The third choice is the correct one : Emily has a greater fraction of country music than Imani.
Explanation:
For Emily:
18 out of 24 of the CDs are country music.
This means that the ratio is 3/4 which greater then 1/2
For Imani:
5 out of 8 of the CDs are country music
This means that the ratio is 5/8 which is also greater than 1/2
Now, let's check the choices:
First choice:
<span>Half of each CD collection consists of country music.
</span>This choice is wrong as we have noted that the ratio for both is greater than 1/2
Second choice:
<span>less than half of each CD collection consists of country music.
</span>This choice is wrong as we have noted that the ratio for both is greater than 1/2
Third choice:
<span>Emily has a greater fraction of country music than Imani.
</span>Emily - Imani = 3/4 - 5/8 = 1/8
This means that Emily has more country music than Imani
Therefore, this choice is correct
Fourth choice:
<span>Imani has greater fraction of country music than Emil.
</span>This choice is wrong as we have noted in the third option that Emily has a larger fraction.
Based on the above:
The third choice is the correct one.
Hope this helps :)
Answer: 4x + 100
Step-by-step explanation:
The company charges $4 per foot plus an installation charge of $100.
There is therefore both a fixed element and a variable element.
The fixed element is the $100 installation charge
The variable element is 4 * the number of square feet of carpet which is x: 4 * x
Formula puts them together to give:
= Variable cost + Fixed cost
= 4 * x + 100
= 4x + 100
